Holographic Charge Excitations on Horizontal Boundary

TL;DR

The paper investigates holographic horizontal charges on the BTZ black hole horizon as a route to horizon microstates and entropy. It develops a near-horizon boundary framework yielding a classical U(1) current algebra of horizontal charges that remains integrable under matter and Hawking radiation perturbations, enabling information to be encoded on the horizon. It argues that falling matter excites nontrivial horizontal charges, providing an explicit mechanism for horizon-based information imprinting and suggesting ergodic wandering among horizon states in thermal equilibrium. A speculative quantum extension links the horizontal symmetry to a Poincaré-like structure and, with a cutoff, reproduces the Bekenstein-Hawking entropy, positing the horizon as a quantum boundary with Planck-scale area units.

Abstract

We argue that states with nontrivial horizontal charges of BTZ black hole can be excited by ordinary falling matter including Hawking radiation. The matter effect does not break the integrability condition of the charges on the horizon. Thus we are able to trace the proccesses in which the matter imprints the information on the horizon by use of the charged states. It is naturally expected that in the thermal equilibrium with the Hawking radiation the black hole wanders ergodically through different horizontal states due to thermal fluctuation of incoming matter. This fact strengthens plausibility of the basic part of Carlip's idea. We also discuss some aspects of the quantum horizontal symmetry and conjecture how the precise black hole entropy will be given from our point of view.